Chiral Transverse Electromagnetic Standing Waves with E || H in the Dirac Equation and the Spectra of the Hydrogen Atom

Torres-Silva, H.

doi:10.5772/19709

Cited by 5 publications

(12 citation statements)

References 21 publications

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“…These results are derived of the Chiral Elec-trodynamics with T as the chiral parameter andk 0 = ω / c [5,6,7]. This situation corresponds to a model of chiral electron where the E field is almost parallel to theH field, the movement of electrons is helical in the valence band of the membrane graphene.…”

Section: Vector Diagram Constructionmentioning

confidence: 99%

“…Semi classically, for a hydrogen atom, this condition was shown by Huang [36] for E wave perpendicular to H wave with radiation and by Torres-Silva for E parallel toH , without radiation. See refs ( [5,37,38]). Here, we extend this result to the electron bound to carbon atom.…”

Section: Vector Diagram Constructionmentioning

confidence: 99%

“…This can be obtained from the Maxwell's equation without charges and current in the E ∥ H configuration. Dirac's four-component equation for the relativistic electron is [5][6][7]. (see our chapter "Chiral Transverse Electromagnetic standing waves with E ∥ H in the Dirac Equation and the spectra of the Hydrogen Atom", section 2,Intech 2011, Behaviour of electromagnetic waves in different media and structures, edited by Ali Akdagli).…”

Section: Two Component Equations and Tunneling Rate Of Dirac Electronmentioning

confidence: 99%

“…Assumingexp(iωt) time dependence, Maxwell's time-harmonic equations [5,6] for isotropic, homogeneous, linear media are:…”

Section: Vector Diagram Constructionmentioning

confidence: 99%

“…Chirality is introduced into the theory by defining the following constitutive relations to describe the isotropic chiral medium [5] …”

Section: Vector Diagram Constructionmentioning

confidence: 99%

See 4 more Smart Citations

Chiral Waves in Graphene Medium and Optical Simulation with Metamaterial

Torres-Silva¹

2012

Solutions and Applications of Scattering, Propagation, Radiation and Emission of Electromagnetic Waves

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Section: Vector Diagram Constructionmentioning

confidence: 99%

Section: Vector Diagram Constructionmentioning

confidence: 99%

Section: Two Component Equations and Tunneling Rate Of Dirac Electronmentioning

confidence: 99%

“…Assumingexp(iωt) time dependence, Maxwell's time-harmonic equations [5,6] for isotropic, homogeneous, linear media are:…”

Section: Vector Diagram Constructionmentioning

confidence: 99%

“…Chirality is introduced into the theory by defining the following constitutive relations to describe the isotropic chiral medium [5] …”

Section: Vector Diagram Constructionmentioning

confidence: 99%

See 3 more Smart Citations

Chiral Waves in Graphene Medium and Optical Simulation with Metamaterial

Torres-Silva¹

2012

Solutions and Applications of Scattering, Propagation, Radiation and Emission of Electromagnetic Waves

Self Cite

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Chiral Current in a Graphene Battery

Torres-Silva¹,

Cabezas²

2012

JEMAA

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We review the formulation of graphene’s massless Dirac equation, under the chiral electromagnetism approach, hopefully demystifying the material’s unusual chiral, relativistic, effective theory. In Dirac’s theory, many authors replace the speed of light by the Fermi velocity, in this paper we deduce that in graphene the Fermi velocity is obtained from the connection between the electromagnetic chirality and the fine structure constant when the electric wave E is quasi parallel to the magnetic wave H. With this approach we can consider the properties of electric circuits involving graphene or Weyl semimetals. The existence of the induced chiral magnetic current in a graphene subjected to magnetic field causes an interesting and unusual behavior of such circuits. We discuss an explicit example of a circuit involving the current generation in a “chiral battery”. The special properties of this circuit may be utilized for creating “chiral electronic” devices

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Chiral Seismic Attenuation with Acoustic Metamaterials

Torres-Silva¹,

Cabezas²

2013

JEMAA

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We study the analogy between the linear elasticity theory equations and classical Maxwell equation with chiral effects and we propose a new method of an earthquake-resistant design to support conventional aseismic designs using acoustic metamaterials. We suggest a simple and practical method to reduce the amplitude of a seismic wave exponentially. Our device is like an attenuator of a chiral seismic wave. Constructing a cylindrical shell-type waveguide that creates a stop-band for the chiral seismic wave, we can convert the wave into an evanescent wave for some frequency range without touching the building we want to protect.

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Chiral Transverse Electromagnetic Standing Waves with E || H in the Dirac Equation and the Spectra of the Hydrogen Atom

Cited by 5 publications

References 21 publications

Chiral Waves in Graphene Medium and Optical Simulation with Metamaterial

Chiral Waves in Graphene Medium and Optical Simulation with Metamaterial

Chiral Current in a Graphene Battery

Chiral Seismic Attenuation with Acoustic Metamaterials

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